100220201122100 has 18 divisors (see below), whose sum is σ = 217477836435174. Its totient is φ = 40088080448800.

The previous prime is 100220201122057. The next prime is 100220201122123. The reversal of 100220201122100 is 1221102022001.

It can be written as a sum of positive squares in 3 ways, for example, as 14386757968144 + 85833443153956 = 3792988^2 + 9264634^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501101005511 + ... + 501101005710.

Almost surely, 2^{100220201122100} is an apocalyptic number.

100220201122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220201122100 is an abundant number, since it is smaller than the sum of its proper divisors (117257635313074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100220201122100 is a wasteful number, since it uses less digits than its factorization.

100220201122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002202011235 (or 1002202011228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100220201122100 its reverse (1221102022001), we get a palindrome (101441303144101).

The spelling of 100220201122100 in words is "one hundred trillion, two hundred twenty billion, two hundred one million, one hundred twenty-two thousand, one hundred".